C4graphGraph forms for C4 [ 512, 543 ] = SS[512,76]

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On this page are computer-accessible forms for the graph C4[ 512, 543 ] = SS[512,76].

(I) Following is a form readable by MAGMA:

g:=Graph<512|{ {1, 3}, {500, 502}, {1, 2}, {196, 199}, {1, 5}, {193, 197}, {194, 198}, {1, 4}, {499, 502}, {498, 503}, {464, 470}, {464, 472}, {496, 504}, {192, 201}, {497, 504}, {195, 200}, {50, 63}, {49, 63}, {43, 59}, {457, 473}, {46, 62}, {45, 61}, {44, 60}, {458, 475}, {460, 477}, {37, 55}, {352, 370}, {457, 474}, {491, 504}, {460, 479}, {40, 60}, {363, 383}, {195, 215}, {459, 478}, {458, 476}, {32, 55}, {488, 511}, {456, 479}, {42, 61}, {41, 62}, {193, 214}, {194, 213}, {33, 57}, {495, 503}, {493, 501}, {486, 510}, {485, 509}, {484, 508}, {483, 507}, {482, 506}, {481, 505}, {463, 471}, {452, 476}, {451, 475}, {450, 474}, {449, 473}, {358, 382}, {357, 381}, {34, 58}, {192, 218}, {462, 468}, {455, 477}, {35, 56}, {494, 501}, {492, 503}, {462, 469}, {453, 478}, {196, 223}, {39, 59}, {490, 502}, {489, 501}, {463, 467}, {461, 465}, {196, 216}, {195, 222}, {36, 58}, {38, 56}, {194, 221}, {480, 511}, {461, 466}, {333, 365}, {478, 510}, {477, 509}, {476, 508}, {475, 507}, {474, 506}, {473, 505}, {193, 224}, {334, 367}, {192, 226}, {332, 366}, {336, 371}, {341, 369}, {342, 370}, {31, 57}, {454, 480}, {339, 372}, {472, 511}, {448, 487}, {340, 371}, {344, 368}, {345, 369}, {349, 372}, {471, 510}, {469, 508}, {465, 507}, {467, 505}, {196, 239}, {470, 509}, {459, 480}, {195, 239}, {192, 238}, {468, 506}, {350, 368}, {348, 371}, {327, 375}, {351, 367}, {335, 383}, {328, 376}, {193, 240}, {332, 381}, {194, 240}, {324, 374}, {321, 373}, {346, 366}, {347, 365}, {329, 382}, {343, 367}, {322, 379}, {323, 378}, {326, 380}, {331, 369}, {330, 368}, {325, 377}, {329, 372}, {335, 370}, {337, 366}, {338, 365}, {30, 94}, {401, 465}, {29, 92}, {53, 116}, {158, 223}, {171, 234}, {400, 466}, {27, 88}, {424, 491}, {48, 115}, {30, 93}, {177, 242}, {23, 83}, {51, 119}, {50, 118}, {49, 117}, {46, 106}, {27, 95}, {173, 233}, {20, 81}, {403, 470}, {146, 215}, {45, 104}, {28, 89}, {155, 222}, {176, 245}, {178, 247}, {184, 253}, {19, 85}, {307, 373}, {305, 375}, {29, 91}, {28, 90}, {22, 80}, {155, 221}, {185, 255}, {46, 105}, {431, 488}, {404, 467}, {175, 232}, {43, 99}, {430, 486}, {429, 485}, {428, 484}, {427, 483}, {426, 482}, {425, 481}, {145, 217}, {47, 103}, {15, 70}, {44, 101}, {38, 111}, {36, 109}, {159, 214}, {174, 231}, {24, 82}, {402, 472}, {306, 376}, {45, 103}, {44, 102}, {172, 230}, {179, 249}, {182, 252}, {181, 254}, {423, 492}, {311, 380}, {27, 87}, {422, 490}, {421, 489}, {144, 220}, {52, 120}, {183, 251}, {308, 377}, {310, 379}, {26, 84}, {416, 494}, {312, 374}, {37, 107}, {32, 110}, {180, 250}, {25, 86}, {418, 493}, {309, 378}, {54, 121}, {43, 100}, {35, 108}, {159, 208}, {20, 68}, {417, 497}, {139, 219}, {53, 101}, {33, 113}, {189, 237}, {21, 68}, {50, 99}, {169, 248}, {191, 238}, {34, 112}, {149, 199}, {148, 198}, {41, 123}, {150, 197}, {419, 496}, {171, 248}, {190, 237}, {18, 70}, {137, 221}, {23, 67}, {22, 67}, {143, 218}, {47, 122}, {167, 242}, {16, 70}, {142, 216}, {48, 102}, {40, 126}, {167, 241}, {17, 70}, {447, 488}, {432, 487}, {420, 499}, {51, 100}, {40, 127}, {19, 68}, {178, 229}, {29, 69}, {446, 486}, {445, 485}, {444, 484}, {443, 483}, {442, 482}, {441, 481}, {26, 67}, {398, 471}, {397, 468}, {288, 377}, {149, 204}, {147, 202}, {140, 213}, {28, 69}, {173, 244}, {175, 246}, {21, 79}, {399, 469}, {133, 223}, {39, 125}, {25, 67}, {190, 228}, {30, 69}, {147, 200}, {141, 214}, {49, 106}, {39, 124}, {168, 243}, {176, 235}, {24, 68}, {52, 104}, {168, 244}, {131, 222}, {170, 247}, {177, 236}, {27, 69}, {189, 227}, {191, 225}, {54, 105}, {150, 201}, {148, 203}, {169, 246}, {170, 245}, {172, 243}, {174, 241}, {16, 112}, {438, 470}, {436, 468}, {15, 110}, {396, 493}, {285, 380}, {23, 118}, {189, 220}, {15, 109}, {435, 465}, {433, 467}, {179, 209}, {182, 212}, {17, 114}, {283, 376}, {135, 228}, {25, 122}, {22, 117}, {18, 113}, {130, 230}, {134, 226}, {47, 74}, {395, 494}, {286, 379}, {132, 225}, {190, 219}, {21, 115}, {284, 378}, {181, 211}, {191, 217}, {280, 383}, {437, 466}, {434, 469}, {392, 495}, {136, 224}, {166, 206}, {188, 212}, {138, 227}, {287, 374}, {185, 208}, {187, 210}, {128, 234}, {129, 235}, {184, 210}, {19, 120}, {415, 500}, {385, 490}, {384, 491}, {278, 381}, {188, 208}, {414, 498}, {281, 373}, {20, 121}, {282, 375}, {31, 114}, {188, 209}, {26, 116}, {386, 492}, {161, 207}, {24, 119}, {440, 471}, {439, 472}, {388, 491}, {387, 492}, {273, 382}, {47, 64}, {162, 205}, {188, 211}, {13, 125}, {151, 231}, {14, 126}, {163, 211}, {48, 65}, {154, 235}, {54, 71}, {165, 212}, {180, 197}, {189, 204}, {51, 65}, {413, 495}, {390, 500}, {160, 210}, {153, 234}, {411, 488}, {154, 233}, {185, 202}, {186, 201}, {8, 124}, {407, 483}, {406, 482}, {405, 481}, {54, 66}, {161, 213}, {187, 207}, {10, 127}, {389, 496}, {153, 236}, {53, 64}, {162, 215}, {164, 209}, {179, 198}, {187, 206}, {190, 203}, {191, 202}, {52, 66}, {391, 497}, {187, 205}, {186, 205}, {48, 72}, {53, 77}, {183, 207}, {18, 107}, {394, 499}, {157, 228}, {160, 217}, {165, 220}, {49, 75}, {52, 78}, {180, 206}, {50, 73}, {412, 487}, {393, 498}, {163, 216}, {183, 204}, {7, 123}, {410, 486}, {409, 485}, {408, 484}, {28, 96}, {157, 225}, {17, 108}, {152, 229}, {166, 219}, {152, 230}, {156, 226}, {158, 224}, {164, 218}, {181, 203}, {182, 200}, {16, 111}, {151, 232}, {51, 76}, {30, 97}, {29, 98}, {156, 227}, {184, 199}, {13, 141}, {319, 447}, {318, 446}, {40, 168}, {39, 167}, {269, 396}, {370, 499}, {12, 142}, {371, 497}, {365, 495}, {267, 393}, {266, 392}, {11, 136}, {313, 442}, {295, 420}, {289, 418}, {42, 169}, {41, 170}, {7, 131}, {372, 496}, {317, 441}, {292, 416}, {8, 140}, {10, 143}, {270, 395}, {20, 145}, {268, 394}, {315, 445}, {314, 444}, {13, 138}, {294, 417}, {14, 137}, {281, 401}, {283, 403}, {271, 390}, {272, 409}, {12, 134}, {26, 144}, {24, 146}, {9, 130}, {296, 419}, {11, 128}, {7, 139}, {8, 132}, {265, 389}, {12, 129}, {287, 402}, {98, 239}, {34, 175}, {32, 173}, {9, 135}, {282, 404}, {96, 238}, {37, 171}, {10, 133}, {33, 174}, {311, 423}, {97, 240}, {310, 423}, {293, 436}, {290, 435}, {286, 399}, {284, 397}, {266, 411}, {104, 250}, {295, 437}, {35, 176}, {289, 434}, {285, 398}, {274, 385}, {271, 412}, {127, 236}, {260, 407}, {261, 406}, {264, 411}, {25, 141}, {306, 422}, {291, 439}, {125, 233}, {257, 405}, {106, 255}, {279, 386}, {277, 384}, {36, 178}, {383, 489}, {307, 421}, {270, 408}, {126, 232}, {38, 177}, {382, 489}, {381, 490}, {305, 422}, {294, 433}, {276, 387}, {275, 388}, {272, 391}, {269, 410}, {22, 143}, {124, 229}, {100, 253}, {23, 142}, {259, 410}, {258, 408}, {378, 480}, {268, 406}, {9, 146}, {367, 500}, {319, 420}, {315, 416}, {314, 417}, {101, 254}, {31, 132}, {11, 144}, {263, 412}, {123, 231}, {369, 493}, {366, 498}, {308, 424}, {292, 440}, {267, 407}, {265, 405}, {102, 251}, {312, 421}, {309, 424}, {21, 139}, {368, 494}, {316, 418}, {296, 438}, {103, 249}, {14, 145}, {99, 252}, {19, 140}, {262, 409}, {37, 133}, {34, 131}, {318, 415}, {304, 401}, {89, 248}, {87, 246}, {300, 398}, {36, 135}, {380, 479}, {317, 414}, {256, 419}, {313, 413}, {376, 476}, {32, 134}, {379, 477}, {299, 397}, {297, 399}, {377, 478}, {33, 137}, {360, 448}, {92, 244}, {83, 251}, {42, 130}, {35, 138}, {304, 409}, {84, 253}, {41, 128}, {80, 250}, {88, 242}, {42, 129}, {94, 245}, {90, 241}, {85, 254}, {91, 247}, {375, 475}, {374, 474}, {373, 473}, {81, 252}, {82, 255}, {38, 136}, {93, 243}, {288, 400}, {298, 411}, {95, 237}, {31, 172}, {303, 412}, {302, 410}, {301, 408}, {79, 249}, {293, 415}, {300, 406}, {297, 405}, {299, 407}, {291, 414}, {303, 402}, {302, 403}, {301, 400}, {298, 404}, {290, 413}, {327, 391}, {363, 426}, {364, 429}, {360, 428}, {323, 390}, {361, 431}, {321, 392}, {359, 430}, {333, 388}, {330, 385}, {331, 384}, {324, 393}, {352, 429}, {334, 387}, {328, 389}, {326, 395}, {322, 396}, {357, 427}, {325, 394}, {358, 425}, {361, 441}, {275, 450}, {276, 453}, {273, 451}, {336, 386}, {279, 452}, {274, 455}, {363, 446}, {362, 447}, {278, 449}, {364, 443}, {358, 444}, {362, 432}, {359, 445}, {277, 456}, {280, 454}, {357, 442}, {356, 389}, {320, 419}, {340, 439}, {337, 437}, {343, 435}, {342, 434}, {341, 433}, {338, 438}, {353, 391}, {353, 390}, {359, 384}, {355, 395}, {360, 385}, {362, 387}, {354, 392}, {355, 393}, {339, 440}, {344, 436}, {349, 432}, {361, 388}, {354, 396}, {364, 386}, {356, 394}, {350, 431}, {345, 427}, {346, 430}, {348, 426}, {351, 425}, {347, 428}, {320, 443}, {316, 448}, {73, 328}, {73, 331}, {94, 348}, {93, 351}, {89, 347}, {75, 329}, {77, 334}, {90, 345}, {78, 333}, {71, 321}, {91, 349}, {88, 350}, {76, 330}, {74, 332}, {72, 335}, {74, 323}, {78, 327}, {77, 324}, {76, 325}, {75, 322}, {87, 346}, {72, 326}, {79, 320}, {208, 448}, {213, 449}, {214, 450}, {71, 336}, {217, 451}, {220, 454}, {65, 346}, {66, 345}, {64, 348}, {65, 349}, {66, 351}, {64, 350}, {218, 452}, {219, 453}, {215, 456}, {216, 455}, {246, 454}, {247, 455}, {243, 450}, {245, 449}, {241, 452}, {242, 453}, {248, 451}, {92, 352}, {244, 456}, {71, 263}, {123, 315}, {234, 426}, {73, 264}, {232, 425}, {236, 429}, {96, 291}, {127, 316}, {125, 318}, {96, 292}, {98, 294}, {97, 295}, {124, 314}, {203, 397}, {233, 431}, {238, 424}, {98, 293}, {126, 313}, {200, 399}, {235, 428}, {74, 258}, {111, 295}, {104, 288}, {76, 260}, {230, 430}, {72, 257}, {97, 296}, {199, 398}, {110, 292}, {239, 421}, {77, 262}, {237, 422}, {109, 289}, {78, 259}, {107, 294}, {75, 261}, {108, 290}, {229, 427}, {57, 360}, {114, 291}, {55, 357}, {57, 363}, {227, 433}, {228, 438}, {58, 361}, {197, 401}, {198, 402}, {112, 293}, {225, 436}, {58, 364}, {86, 256}, {226, 437}, {231, 432}, {240, 423}, {224, 440}, {113, 296}, {202, 403}, {254, 420}, {204, 400}, {252, 416}, {55, 362}, {201, 404}, {56, 358}, {255, 417}, {56, 359}, {63, 352}, {253, 418}, {82, 306}, {120, 280}, {119, 279}, {115, 275}, {85, 309}, {116, 277}, {6, 356}, {118, 276}, {80, 307}, {117, 278}, {84, 311}, {6, 354}, {63, 347}, {249, 413}, {250, 414}, {251, 415}, {6, 355}, {61, 344}, {6, 353}, {111, 264}, {87, 304}, {86, 305}, {83, 308}, {81, 310}, {60, 340}, {110, 262}, {62, 342}, {61, 341}, {59, 338}, {108, 261}, {107, 258}, {105, 256}, {85, 316}, {62, 343}, {222, 439}, {59, 337}, {109, 263}, {83, 313}, {211, 441}, {121, 274}, {122, 273}, {223, 435}, {86, 315}, {210, 447}, {84, 314}, {60, 339}, {82, 317}, {81, 318}, {80, 319}, {209, 446}, {212, 443}, {221, 434}, {93, 301}, {116, 260}, {94, 302}, {88, 297}, {121, 264}, {115, 258}, {91, 298}, {119, 261}, {206, 444}, {207, 445}, {112, 259}, {114, 257}, {105, 285}, {106, 287}, {113, 260}, {89, 303}, {117, 259}, {90, 300}, {79, 312}, {118, 257}, {92, 299}, {205, 442}, {101, 286}, {103, 283}, {95, 290}, {122, 263}, {95, 289}, {120, 262}, {100, 282}, {99, 284}, {102, 281}, {138, 267}, {143, 270}, {141, 268}, {153, 282}, {154, 281}, {140, 265}, {176, 309}, {139, 269}, {152, 286}, {178, 308}, {136, 271}, {152, 287}, {154, 285}, {135, 270}, {177, 312}, {185, 304}, {134, 269}, {151, 284}, {159, 276}, {133, 265}, {151, 283}, {132, 266}, {131, 268}, {186, 297}, {184, 302}, {175, 311}, {183, 303}, {137, 272}, {179, 298}, {181, 300}, {144, 266}, {145, 267}, {182, 301}, {146, 271}, {171, 310}, {172, 305}, {174, 307}, {142, 272}, {173, 306}, {180, 299}, {164, 277}, {163, 273}, {160, 275}, {165, 278}, {166, 274}, {161, 279}, {153, 288}, {162, 280}, {186, 256}, {128, 317}, {130, 319}, {14, 463}, {129, 320}, {12, 462}, {8, 461}, {11, 462}, {9, 463}, {15, 457}, {167, 353}, {170, 355}, {7, 461}, {159, 341}, {168, 354}, {156, 336}, {169, 356}, {155, 331}, {149, 324}, {147, 321}, {148, 326}, {148, 327}, {156, 335}, {157, 334}, {158, 333}, {150, 322}, {157, 329}, {158, 330}, {150, 323}, {147, 325}, {155, 332}, {18, 459}, {10, 464}, {16, 458}, {13, 464}, {149, 328}, {17, 460}, {45, 460}, {43, 457}, {46, 459}, {44, 458}, {162, 338}, {4, 501}, {5, 503}, {163, 337}, {166, 340}, {164, 343}, {2, 502}, {160, 342}, {165, 339}, {3, 506}, {5, 508}, {161, 344}, {2, 505}, {5, 510}, {4, 511}, {3, 504}, {2, 509}, {4, 507}, {3, 512}, {466, 512}, {479, 512}, {487, 512} }>;

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

a: (1, 55, 69, 147)(2, 357, 28, 202)(3, 37, 27, 321)(4, 32, 30, 325)(5, 362, 29, 200)(6, 461, 70, 64)(7, 16, 53, 355)(8, 17, 47, 353)(9, 206, 50, 209)(10, 237, 54, 491)(11, 311, 48, 312)(12, 240, 51, 489)(13, 305, 52, 309)(14, 207, 49, 211)(15, 348, 356, 465)(18, 350, 354, 466)(19, 35, 25, 327)(20, 359, 22, 203)(21, 38, 26, 326)(23, 198, 24, 358)(31, 45, 323, 39)(33, 344, 322, 337)(34, 44, 324, 41)(36, 340, 328, 343)(40, 204, 46, 361)(42, 197, 43, 363)(56, 67, 148, 68)(57, 61, 150, 59)(58, 60, 149, 62)(63, 188, 463, 187)(65, 421, 462, 423)(66, 424, 464, 422)(71, 504, 133, 95)(72, 79, 136, 84)(73, 164, 135, 166)(74, 167, 132, 460)(75, 163, 137, 161)(76, 501, 134, 97)(77, 170, 131, 458)(78, 85, 138, 86)(80, 397, 81, 430)(82, 425, 83, 402)(87, 373, 506, 171)(88, 392, 512, 107)(89, 185, 505, 442)(90, 191, 509, 381)(91, 195, 508, 387)(92, 182, 510, 447)(93, 377, 511, 173)(94, 394, 507, 110)(96, 403, 502, 427)(98, 399, 503, 432)(99, 446, 130, 180)(100, 383, 129, 193)(101, 393, 123, 112)(102, 374, 128, 175)(103, 390, 124, 114)(104, 378, 125, 172)(105, 388, 127, 189)(106, 441, 126, 183)(108, 122, 391, 140)(109, 371, 389, 435)(111, 116, 395, 139)(113, 368, 396, 437)(115, 177, 144, 380)(117, 181, 145, 445)(118, 179, 146, 444)(119, 382, 142, 194)(120, 176, 141, 375)(121, 384, 143, 190)(151, 415, 152, 414)(153, 454, 154, 450)(155, 452, 157, 455)(156, 419, 158, 418)(159, 404, 162, 428)(160, 429, 165, 398)(168, 400, 459, 431)(169, 401, 457, 426)(174, 436, 379, 366)(178, 439, 376, 367)(184, 370, 443, 440)(186, 365, 448, 433)(192, 438, 385, 369)(196, 434, 386, 372)(199, 342, 364, 339)(201, 338, 360, 341)(205, 347, 208, 467)(210, 352, 212, 471)(213, 261, 273, 272)(214, 282, 280, 235)(215, 484, 276, 298)(216, 221, 279, 329)(217, 485, 278, 300)(218, 228, 274, 331)(219, 264, 277, 270)(220, 285, 275, 236)(222, 476, 334, 247)(223, 289, 336, 496)(224, 253, 335, 320)(225, 477, 332, 241)(226, 296, 330, 493)(227, 256, 333, 316)(229, 291, 283, 500)(230, 250, 284, 318)(231, 293, 286, 498)(232, 251, 287, 317)(233, 243, 288, 480)(234, 246, 281, 474)(238, 470, 490, 345)(239, 469, 492, 349)(242, 266, 479, 258)(244, 301, 478, 488)(245, 268, 475, 262)(248, 304, 473, 482)(249, 271, 314, 257)(252, 486, 319, 299)(254, 267, 315, 259)(255, 481, 313, 303)(260, 494, 269, 295)(263, 497, 265, 290)(292, 302, 499, 483)(294, 297, 495, 487)(306, 351, 308, 472)(307, 468, 310, 346)(405, 413, 412, 417)(406, 451, 409, 449)(407, 416, 410, 420)(408, 453, 411, 456)
b: (1, 71, 61, 131)(2, 263, 344, 222)(3, 336, 341, 268)(4, 321, 45, 34)(5, 54, 42, 7)(6, 400, 423, 427)(8, 498, 351, 248)(9, 315, 469, 274)(10, 43, 53, 29)(11, 206, 14, 305)(12, 219, 471, 256)(13, 474, 348, 294)(15, 350, 239, 470)(16, 488, 307, 283)(17, 361, 489, 202)(18, 233, 312, 302)(19, 346, 343, 347)(20, 230, 41, 484)(21, 486, 46, 235)(22, 284, 44, 298)(23, 203, 339, 201)(24, 359, 342, 360)(25, 468, 340, 467)(26, 299, 40, 282)(27, 223, 338, 262)(28, 265, 337, 334)(30, 37, 39, 324)(31, 317, 358, 217)(32, 242, 199, 296)(33, 306, 38, 210)(35, 275, 363, 255)(36, 494, 200, 477)(47, 293, 472, 473)(48, 209, 49, 309)(50, 254, 349, 218)(51, 277, 352, 316)(52, 246, 465, 495)(55, 167, 149, 97)(56, 160, 57, 82)(58, 501, 147, 460)(59, 77, 69, 133)(60, 404, 67, 397)(62, 428, 68, 430)(63, 85, 65, 164)(64, 98, 464, 457)(66, 169, 461, 503)(70, 431, 421, 403)(72, 188, 75, 424)(73, 420, 432, 452)(74, 415, 402, 449)(76, 456, 429, 418)(78, 454, 401, 413)(79, 410, 459, 154)(80, 151, 458, 411)(81, 152, 170, 408)(83, 148, 165, 150)(84, 407, 168, 153)(86, 462, 166, 463)(87, 435, 365, 120)(88, 196, 438, 110)(89, 140, 366, 367)(90, 389, 437, 387)(91, 143, 99, 101)(92, 127, 100, 116)(93, 171, 124, 393)(94, 107, 125, 374)(95, 158, 162, 409)(96, 405, 163, 157)(102, 179, 117, 378)(103, 112, 511, 373)(104, 175, 507, 392)(105, 129, 139, 510)(106, 176, 115, 446)(108, 388, 383, 185)(109, 368, 195, 509)(111, 447, 174, 376)(113, 173, 177, 184)(114, 441, 382, 191)(118, 181, 372, 192)(119, 384, 370, 448)(121, 130, 123, 508)(122, 436, 439, 505)(126, 375, 144, 180)(128, 444, 145, 172)(132, 414, 425, 451)(134, 453, 398, 419)(135, 416, 399, 455)(136, 187, 137, 422)(138, 450, 426, 417)(141, 506, 371, 433)(142, 190, 440, 186)(146, 445, 434, 385)(155, 502, 412, 161)(156, 159, 406, 504)(178, 395, 182, 379)(183, 194, 381, 390)(189, 193, 442, 391)(197, 313, 327, 220)(198, 278, 323, 251)(204, 240, 357, 353)(205, 272, 237, 224)(207, 221, 490, 271)(208, 261, 491, 335)(211, 329, 238, 257)(212, 322, 308, 326)(213, 332, 500, 303)(214, 482, 497, 227)(215, 485, 289, 330)(216, 228, 292, 297)(225, 291, 481, 273)(226, 276, 300, 496)(229, 355, 301, 310)(231, 476, 264, 319)(232, 475, 266, 250)(234, 314, 267, 243)(236, 253, 260, 244)(241, 328, 295, 362)(245, 258, 318, 287)(247, 270, 252, 286)(249, 259, 480, 281)(269, 478, 285, 320)(279, 331, 499, 487)(280, 304, 290, 333)(288, 311, 483, 354)(325, 479, 364, 493)(345, 356, 466, 492)(369, 394, 512, 386)(377, 380, 443, 396)
c: (2, 4)(3, 5)(7, 9)(8, 14)(10, 13)(11, 12)(15, 16)(17, 18)(19, 20)(21, 24)(22, 25)(23, 26)(27, 29)(28, 30)(31, 33)(32, 38)(34, 36)(35, 37)(39, 40)(41, 42)(43, 44)(45, 46)(47, 49)(48, 51)(50, 53)(52, 54)(55, 56)(59, 60)(61, 62)(63, 64)(71, 78)(72, 76)(73, 77)(74, 75)(79, 82)(80, 86)(81, 85)(83, 84)(87, 91)(88, 92)(89, 94)(90, 93)(95, 98)(96, 97)(99, 101)(100, 102)(103, 106)(104, 105)(107, 108)(109, 112)(110, 111)(113, 114)(115, 119)(116, 118)(117, 122)(120, 121)(123, 130)(124, 126)(125, 127)(128, 129)(131, 135)(132, 137)(133, 138)(134, 136)(139, 146)(140, 145)(141, 143)(142, 144)(147, 148)(151, 152)(153, 154)(155, 157)(156, 158)(159, 164)(160, 161)(162, 166)(163, 165)(167, 168)(169, 170)(171, 176)(172, 174)(173, 177)(175, 178)(179, 185)(180, 186)(181, 182)(183, 184)(189, 196)(190, 195)(191, 194)(192, 193)(197, 201)(198, 202)(199, 204)(200, 203)(205, 206)(207, 210)(208, 209)(211, 212)(213, 217)(214, 218)(215, 219)(216, 220)(221, 225)(222, 228)(223, 227)(224, 226)(229, 232)(230, 231)(233, 236)(234, 235)(237, 239)(238, 240)(241, 243)(242, 244)(245, 248)(246, 247)(249, 255)(250, 256)(251, 253)(252, 254)(257, 260)(258, 261)(259, 263)(262, 264)(265, 267)(266, 272)(268, 270)(269, 271)(273, 278)(274, 280)(275, 279)(276, 277)(281, 282)(283, 287)(284, 286)(285, 288)(289, 293)(290, 294)(291, 296)(292, 295)(297, 299)(298, 304)(300, 301)(302, 303)(305, 307)(306, 312)(308, 311)(309, 310)(313, 314)(315, 319)(316, 318)(317, 320)(321, 327)(322, 323)(324, 328)(325, 326)(329, 332)(330, 335)(331, 334)(333, 336)(337, 339)(338, 340)(341, 343)(342, 344)(345, 351)(346, 349)(347, 348)(350, 352)(353, 354)(355, 356)(357, 358)(359, 362)(360, 363)(361, 364)(365, 371)(366, 372)(367, 369)(368, 370)(373, 375)(374, 376)(377, 380)(378, 379)(381, 382)(383, 385)(384, 387)(386, 388)(389, 393)(390, 396)(391, 392)(394, 395)(397, 399)(398, 400)(401, 404)(402, 403)(405, 407)(406, 408)(409, 411)(410, 412)(413, 417)(414, 419)(415, 418)(416, 420)(421, 422)(423, 424)(425, 427)(426, 428)(429, 431)(430, 432)(433, 435)(434, 436)(437, 440)(438, 439)(441, 443)(442, 444)(445, 447)(446, 448)(449, 451)(450, 452)(453, 456)(454, 455)(457, 458)(459, 460)(461, 463)(465, 467)(466, 471)(468, 469)(470, 472)(473, 475)(474, 476)(477, 480)(478, 479)(481, 483)(482, 484)(485, 488)(486, 487)(489, 490)(491, 492)(493, 500)(494, 499)(495, 497)(496, 498)(501, 502)(503, 504)(505, 507)(506, 508)(509, 511)(510, 512)
d: (2, 3)(7, 10)(8, 13)(9, 12)(11, 14)(16, 18)(19, 25)(20, 26)(21, 22)(23, 24)(27, 28)(31, 35)(32, 36)(33, 38)(34, 37)(40, 41)(44, 46)(47, 52)(48, 49)(50, 51)(53, 54)(55, 58)(56, 57)(60, 62)(63, 65)(64, 66)(67, 68)(71, 77)(72, 75)(73, 76)(74, 78)(79, 80)(81, 84)(82, 83)(85, 86)(87, 89)(88, 90)(91, 92)(93, 94)(95, 96)(99, 100)(101, 105)(102, 106)(103, 104)(107, 112)(108, 114)(109, 110)(111, 113)(115, 117)(116, 121)(118, 119)(120, 122)(123, 127)(124, 125)(126, 128)(129, 130)(131, 133)(132, 138)(134, 135)(136, 137)(139, 143)(140, 141)(142, 146)(144, 145)(147, 149)(148, 150)(151, 153)(152, 154)(155, 158)(156, 157)(159, 161)(160, 165)(162, 163)(164, 166)(168, 170)(171, 175)(172, 176)(173, 178)(174, 177)(179, 180)(181, 186)(182, 184)(183, 185)(187, 188)(189, 191)(190, 192)(193, 194)(195, 196)(197, 198)(199, 200)(201, 203)(202, 204)(205, 211)(206, 209)(207, 208)(210, 212)(213, 214)(215, 216)(217, 220)(218, 219)(221, 224)(222, 223)(225, 227)(226, 228)(229, 233)(230, 235)(231, 236)(232, 234)(237, 238)(241, 242)(243, 245)(244, 247)(246, 248)(249, 250)(251, 255)(252, 253)(254, 256)(257, 261)(258, 259)(260, 264)(262, 263)(265, 268)(266, 267)(269, 270)(271, 272)(273, 280)(274, 277)(275, 278)(276, 279)(281, 287)(282, 284)(283, 288)(285, 286)(289, 292)(290, 291)(293, 294)(295, 296)(297, 300)(298, 299)(301, 302)(303, 304)(305, 309)(306, 308)(307, 312)(310, 311)(313, 317)(314, 318)(315, 316)(319, 320)(321, 324)(322, 326)(323, 327)(325, 328)(329, 335)(330, 331)(332, 333)(334, 336)(337, 338)(339, 342)(340, 343)(341, 344)(345, 350)(346, 347)(348, 351)(349, 352)(354, 355)(357, 361)(358, 363)(359, 360)(362, 364)(365, 366)(367, 371)(368, 369)(370, 372)(373, 374)(375, 378)(376, 377)(379, 380)(381, 388)(382, 383)(384, 385)(386, 387)(389, 394)(390, 391)(392, 393)(395, 396)(397, 404)(398, 399)(400, 403)(401, 402)(405, 406)(407, 411)(408, 410)(409, 412)(413, 414)(415, 417)(416, 418)(419, 420)(422, 424)(425, 426)(427, 431)(428, 430)(429, 432)(433, 436)(434, 440)(435, 439)(437, 438)(441, 442)(443, 447)(444, 446)(445, 448)(449, 450)(451, 454)(452, 453)(455, 456)(458, 459)(461, 464)(462, 463)(465, 472)(466, 470)(467, 468)(469, 471)(473, 474)(475, 480)(476, 478)(477, 479)(481, 482)(483, 488)(484, 486)(485, 487)(490, 491)(493, 494)(495, 498)(496, 499)(497, 500)(502, 504)(505, 506)(507, 511)(508, 510)(509, 512)
e: (2, 5)(3, 4)(7, 8)(9, 14)(10, 12)(11, 13)(15, 18)(16, 17)(19, 21)(20, 24)(22, 23)(25, 26)(27, 30)(28, 29)(31, 34)(32, 37)(33, 36)(35, 38)(39, 41)(40, 42)(43, 46)(44, 45)(47, 53)(48, 52)(49, 50)(51, 54)(57, 58)(59, 62)(60, 61)(65, 66)(71, 76)(72, 78)(73, 75)(74, 77)(79, 85)(80, 83)(81, 82)(84, 86)(87, 93)(88, 94)(89, 92)(90, 91)(95, 97)(96, 98)(99, 106)(100, 105)(101, 103)(102, 104)(107, 110)(108, 111)(109, 113)(112, 114)(115, 120)(116, 122)(117, 118)(119, 121)(123, 124)(125, 128)(126, 130)(127, 129)(131, 132)(133, 134)(135, 137)(136, 138)(139, 140)(141, 144)(142, 143)(145, 146)(149, 150)(151, 152)(153, 154)(155, 157)(156, 158)(159, 165)(160, 162)(161, 166)(163, 164)(167, 170)(168, 169)(171, 173)(172, 175)(174, 178)(176, 177)(179, 181)(180, 183)(182, 185)(184, 186)(189, 193)(190, 194)(191, 195)(192, 196)(197, 204)(198, 203)(199, 201)(200, 202)(205, 210)(206, 207)(208, 212)(209, 211)(213, 219)(214, 220)(215, 217)(216, 218)(221, 228)(222, 225)(223, 226)(224, 227)(229, 231)(230, 232)(233, 234)(235, 236)(237, 240)(238, 239)(241, 247)(242, 245)(243, 246)(244, 248)(249, 254)(250, 251)(252, 255)(253, 256)(257, 259)(258, 262)(260, 263)(261, 264)(265, 269)(266, 268)(267, 271)(270, 272)(273, 277)(274, 279)(275, 280)(276, 278)(281, 288)(282, 285)(283, 286)(284, 287)(289, 296)(290, 295)(291, 293)(292, 294)(297, 302)(298, 300)(299, 303)(301, 304)(305, 311)(306, 310)(307, 308)(309, 312)(313, 319)(314, 315)(316, 320)(317, 318)(321, 325)(322, 328)(323, 324)(326, 327)(329, 331)(330, 336)(332, 334)(333, 335)(337, 343)(338, 342)(339, 341)(340, 344)(345, 349)(346, 351)(347, 352)(348, 350)(353, 355)(354, 356)(357, 362)(358, 359)(360, 364)(361, 363)(365, 370)(366, 367)(368, 371)(369, 372)(373, 377)(374, 378)(375, 380)(376, 379)(381, 387)(382, 384)(383, 388)(385, 386)(389, 396)(390, 393)(391, 395)(392, 394)(397, 402)(398, 404)(399, 403)(400, 401)(405, 410)(406, 411)(407, 412)(408, 409)(413, 420)(414, 415)(416, 417)(418, 419)(421, 424)(422, 423)(425, 430)(426, 431)(427, 432)(428, 429)(433, 440)(434, 438)(435, 437)(436, 439)(441, 446)(442, 447)(443, 448)(444, 445)(449, 453)(450, 454)(451, 456)(452, 455)(457, 459)(458, 460)(462, 464)(465, 466)(467, 471)(468, 472)(469, 470)(473, 478)(474, 480)(475, 479)(476, 477)(481, 486)(482, 488)(483, 487)(484, 485)(489, 491)(490, 492)(493, 496)(494, 497)(495, 499)(498, 500)(501, 504)(502, 503)(505, 510)(506, 511)(507, 512)(508, 509)
f: (1, 6, 69, 70)(2, 356, 27, 17)(3, 353, 28, 15)(4, 354, 29, 16)(5, 355, 30, 18)(7, 197, 49, 364)(8, 201, 50, 361)(9, 204, 47, 360)(10, 200, 48, 358)(11, 198, 54, 362)(12, 203, 52, 357)(13, 202, 51, 359)(14, 199, 53, 363)(19, 205, 23, 211)(20, 210, 26, 209)(21, 206, 22, 212)(24, 207, 25, 208)(31, 467, 328, 350)(32, 468, 327, 345)(33, 471, 324, 348)(34, 465, 322, 352)(35, 470, 325, 346)(36, 466, 323, 347)(37, 469, 326, 351)(38, 472, 321, 349)(39, 238, 43, 491)(40, 239, 44, 489)(41, 240, 46, 492)(42, 237, 45, 490)(55, 462, 148, 66)(56, 464, 147, 65)(57, 463, 149, 64)(58, 461, 150, 63)(59, 424)(60, 421)(61, 422)(62, 423)(67, 188, 68, 187)(71, 432, 136, 402)(72, 425, 133, 399)(73, 431, 132, 404)(74, 428, 135, 400)(75, 429, 131, 401)(76, 430, 138, 403)(77, 426, 137, 398)(78, 427, 134, 397)(79, 166, 80, 165)(81, 160, 84, 164)(82, 161, 86, 159)(83, 163, 85, 162)(87, 108, 509, 394)(88, 114, 505, 389)(89, 109, 512, 390)(90, 110, 506, 391)(91, 111, 511, 392)(92, 112, 507, 396)(93, 107, 508, 395)(94, 113, 510, 393)(95, 460, 502, 169)(96, 457, 504, 167)(97, 459, 503, 170)(98, 458, 501, 168)(99, 388, 124, 192)(100, 384, 125, 191)(101, 383, 126, 196)(102, 382, 127, 195)(103, 385, 130, 189)(104, 381, 129, 190)(105, 387, 128, 194)(106, 386, 123, 193)(115, 444, 143, 182)(116, 446, 145, 184)(117, 443, 139, 180)(118, 441, 140, 186)(119, 445, 141, 185)(120, 442, 142, 181)(121, 447, 144, 179)(122, 448, 146, 183)(151, 158, 152, 156)(153, 155, 154, 157)(171, 434, 380, 367)(172, 433, 376, 368)(173, 436, 375, 369)(174, 440, 374, 371)(175, 435, 379, 370)(176, 438, 377, 366)(177, 439, 373, 372)(178, 437, 378, 365)(213, 256, 276, 317)(214, 255, 279, 315)(215, 251, 273, 316)(216, 254, 280, 313)(217, 253, 277, 318)(218, 252, 275, 314)(219, 250, 278, 320)(220, 249, 274, 319)(221, 285, 334, 234)(222, 281, 329, 236)(223, 286, 335, 232)(224, 287, 336, 231)(225, 282, 331, 233)(226, 284, 333, 229)(227, 283, 330, 230)(228, 288, 332, 235)(241, 292, 474, 497)(242, 291, 473, 496)(243, 294, 476, 494)(244, 293, 475, 493)(245, 296, 478, 498)(246, 290, 477, 499)(247, 295, 480, 495)(248, 289, 479, 500)(257, 481, 265, 297)(258, 484, 270, 301)(259, 483, 269, 299)(260, 486, 267, 302)(261, 485, 268, 304)(262, 482, 272, 300)(263, 487, 271, 303)(264, 488, 266, 298)(305, 341, 306, 344)(307, 339, 312, 340)(308, 337, 309, 338)(310, 342, 311, 343)(406, 409)(407, 410)(413, 455, 420, 454)(414, 449, 419, 453)(415, 451, 418, 456)(416, 450, 417, 452)
g: (1, 87, 462, 91)(2, 304, 12, 247)(3, 346, 469, 29)(4, 246, 11, 298)(5, 27, 468, 349)(6, 441, 150, 443)(7, 9, 343, 341)(8, 319, 46, 227)(10, 52, 25, 20)(13, 19, 22, 54)(14, 223, 45, 315)(15, 251, 360, 302)(16, 303, 363, 253)(17, 207, 33, 199)(18, 204, 31, 210)(21, 270, 351, 214)(23, 274, 470, 262)(24, 218, 345, 268)(26, 264, 472, 280)(28, 482, 51, 476)(30, 474, 48, 484)(32, 308, 490, 202)(34, 271, 209, 493)(35, 213, 307, 285)(36, 500, 208, 269)(37, 288, 305, 217)(38, 198, 489, 311)(39, 254, 49, 336)(40, 333, 47, 252)(41, 467, 465, 42)(43, 44, 347, 348)(50, 340, 338, 53)(55, 377, 422, 191)(56, 194, 421, 380)(57, 184, 70, 183)(58, 390, 188, 396)(59, 101, 63, 371)(60, 365, 64, 99)(61, 123, 463, 435)(62, 433, 461, 130)(65, 508, 69, 506)(66, 141, 68, 143)(67, 121, 464, 120)(71, 125, 85, 117)(72, 444, 97, 374)(73, 439, 162, 116)(74, 182, 168, 388)(75, 386, 167, 181)(76, 376, 96, 442)(77, 118, 166, 438)(78, 122, 81, 127)(79, 395, 425, 193)(80, 105, 138, 140)(82, 192, 427, 394)(83, 385, 403, 110)(84, 111, 402, 383)(86, 145, 133, 104)(88, 397, 372, 503)(89, 426, 100, 458)(90, 406, 119, 452)(92, 504, 366, 399)(93, 450, 115, 408)(94, 457, 102, 428)(95, 436, 432, 510)(98, 512, 430, 434)(103, 416, 126, 158)(106, 156, 124, 420)(107, 400, 172, 160)(108, 161, 174, 398)(109, 415, 448, 410)(112, 412, 446, 418)(113, 149, 114, 187)(128, 404, 507, 169)(129, 170, 505, 401)(131, 146, 164, 369)(132, 447, 459, 189)(134, 178, 502, 185)(135, 367, 159, 139)(136, 179, 501, 175)(137, 196, 460, 445)(142, 455, 509, 409)(144, 411, 511, 454)(147, 173, 424, 381)(148, 382, 423, 177)(151, 440, 413, 368)(152, 370, 417, 437)(153, 375, 451, 171)(154, 176, 449, 373)(155, 195, 456, 384)(157, 387, 453, 190)(163, 379, 429, 391)(165, 392, 431, 378)(180, 419, 393, 405)(186, 407, 389, 414)(197, 320, 355, 481)(200, 244, 491, 332)(201, 483, 356, 317)(203, 329, 492, 242)(205, 260, 328, 291)(206, 296, 324, 257)(211, 322, 364, 353)(212, 354, 361, 323)(215, 277, 331, 222)(216, 477, 485, 272)(219, 228, 334, 276)(220, 266, 488, 480)(221, 239, 479, 359)(224, 249, 494, 232)(225, 362, 478, 237)(226, 229, 499, 255)(230, 342, 294, 466)(231, 471, 290, 344)(233, 309, 278, 321)(234, 282, 475, 248)(235, 245, 473, 281)(236, 327, 273, 310)(238, 357, 325, 306)(240, 312, 326, 358)(241, 300, 261, 279)(243, 275, 258, 301)(250, 256, 267, 265)(259, 263, 318, 316)(283, 292, 313, 330)(284, 339, 495, 350)(286, 352, 497, 337)(287, 335, 314, 295)(289, 293, 487, 486)(297, 299, 496, 498)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

**************

&Graph
C4[ 512, 543 ]
512
-1 2 3 4 5
-2 1 509 502 505
-3 506 1 512 504
-4 1 507 511 501
-5 1 508 510 503
-6 353 354 355 356
-7 123 139 131 461
-8 132 124 140 461
-9 463 135 146 130
-10 143 133 464 127
-11 462 144 136 128
-12 462 134 129 142
-13 464 125 138 141
-14 463 145 126 137
-15 110 70 457 109
-16 111 112 70 458
-17 70 114 108 460
-18 113 70 107 459
-19 68 85 140 120
-20 121 68 145 81
-21 68 79 115 139
-22 143 67 80 117
-23 67 83 118 142
-24 68 146 82 119
-25 67 122 86 141
-26 67 144 116 84
-27 88 69 95 87
-28 89 90 69 96
-29 69 91 92 98
-30 69 93 94 97
-31 132 57 114 172
-32 55 110 134 173
-33 57 113 137 174
-34 112 58 131 175
-35 176 56 138 108
-36 178 58 135 109
-37 55 133 171 107
-38 56 111 177 136
-39 167 124 59 125
-40 168 60 126 127
-41 123 170 62 128
-42 169 61 129 130
-43 99 100 59 457
-44 101 102 60 458
-45 103 104 61 460
-46 105 62 106 459
-47 122 103 74 64
-48 102 115 72 65
-49 106 117 63 75
-50 99 73 63 118
-51 100 119 65 76
-52 66 78 104 120
-53 77 101 116 64
-54 66 121 71 105
-55 37 357 32 362
-56 35 38 358 359
-57 33 363 360 31
-58 34 364 36 361
-59 39 337 338 43
-60 44 40 339 340
-61 341 45 344 42
-62 342 46 343 41
-63 352 49 50 347
-64 47 348 53 350
-65 48 346 51 349
-66 345 52 54 351
-67 22 23 25 26
-68 24 19 20 21
-69 27 28 29 30
-70 15 16 17 18
-71 321 336 54 263
-72 48 257 335 326
-73 264 331 50 328
-74 332 47 323 258
-75 322 49 261 329
-76 330 325 51 260
-77 334 324 53 262
-78 333 259 52 327
-79 320 312 249 21
-80 22 319 250 307
-81 310 20 252 318
-82 24 255 306 317
-83 308 23 313 251
-84 253 311 26 314
-85 254 309 19 316
-86 25 256 315 305
-87 246 27 346 304
-88 242 297 27 350
-89 347 248 28 303
-90 300 345 28 241
-91 298 247 29 349
-92 352 244 299 29
-93 243 301 30 351
-94 245 302 348 30
-95 289 290 27 237
-96 291 28 292 238
-97 30 240 295 296
-98 29 293 239 294
-99 50 284 43 252
-100 253 51 282 43
-101 44 286 254 53
-102 44 48 281 251
-103 45 47 249 283
-104 45 288 52 250
-105 46 256 54 285
-106 287 46 255 49
-107 37 258 18 294
-108 35 290 17 261
-109 36 289 15 263
-110 15 292 262 32
-111 264 16 38 295
-112 34 16 259 293
-113 33 18 260 296
-114 257 291 17 31
-115 275 48 258 21
-116 277 26 260 53
-117 22 278 49 259
-118 23 276 257 50
-119 24 279 51 261
-120 280 19 52 262
-121 264 20 54 274
-122 25 47 273 263
-123 231 7 315 41
-124 39 314 8 229
-125 13 233 39 318
-126 232 14 313 40
-127 236 40 316 10
-128 11 234 41 317
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0

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